9 citations · 38 across the 24 of their papers we have counts for
5 papers · 1 filter
Functional calculus in finite type I von Neumann algebras
Piotr Niemiec
A certain class of matrix-valued Borel matrix functions is introduced and it is shown that all functions of that class naturally operate on any operator T in a finite type I von Ne…
Models for subhomogeneous C*-algebras
Piotr Niemiec
A new category of topological spaces with additional structures, called m-towers, is introduced. It is shown that there is a covariant functor which establishes a one-to-one corres…
Algebra of operators affiliated with a finite type I von Neumann algebra
Piotr Niemiec, Adam Wegert
It is shown that the *-algebra of all (closed densely defined linear) operators affiliated with a finite type I von Neumann algebra admits a unique center-valued trace, which turns…
Elementary approach to homogeneous C*-algebras
Piotr Niemiec
A C*-algebra is n-homogeneous (where n is finite) if every its nonzero irreducible representation acts on an n-dimensional Hilbert space. An elementary proof of Fell's characteriza…
Unitary equivalence and decompositions of finite systems of closed densely defined operators in Hilbert spaces
Piotr Niemiec
An \textit{ideal} of -tuples of operators is a class invariant with respect to unitary equivalence which contains direct sums of arbitrary collections of its members as well as…